73512747648 has 96 divisors (see below), whose sum is σ = 211761669600. Its totient is φ = 24478640640.

The previous prime is 73512747647. The next prime is 73512747701. The reversal of 73512747648 is 84674721537.

73512747648 is a `hidden beast` number, since 7 + 3 + 5 + 127 + 476 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 73512747594 and 73512747603.

It is not an unprimeable number, because it can be changed into a prime (73512747647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1085733 + ... + 1151451.

It is an arithmetic number, because the mean of its divisors is an integer number (2205850725).

Almost surely, 2^73512747648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73512747648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105880834800).

73512747648 is an abundant number, since it is smaller than the sum of its proper divisors (138248921952).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

73512747648 is a wasteful number, since it uses less digits than its factorization.

73512747648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66710 (or 66695 counting only the distinct ones).

The product of its digits is 7902720, while the sum is 54.

The spelling of 73512747648 in words is "seventy-three billion, five hundred twelve million, seven hundred forty-seven thousand, six hundred forty-eight".